Ising transition in frustrated Heisenberg models

Chandra, Premala; Coleman, Piers; Larkin, A. I.

doi:10.1103/physrevlett.64.88

Cited by 442 publications

(541 citation statements)

References 16 publications

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“…For this, one would need much larger cluster sizes since, as we know from previous studies on the J 1 -J 2 model, 27,28 there is a very large length scale associated with the locking between the two Néel vectors.…”

Section: Gs Correlationsmentioning

confidence: 99%

“…(27), it is the combinationK h − 1 2K v that is responsible for the selection of the orthogonal phase at the classical level, since the energy of the third termK x does not depend on the angle θ.…”

Section: Full Quantum S = 1/2 Limit: Effective Low-energy Theorymentioning

confidence: 99%

“…The last three columns show the total contribution of each cluster to J1, J2 and the amplitude K of the plaquette term of Eq. (27 +(s1 ·s2)(s3 ·s4) +(s1 ·s3)(s2 ·s4) − 1 2 (s1 ·s4)(s2 ·s3)…”

Section: Appendix B: Qm Problem Of a Single Afm Dimer In A Staggered mentioning

confidence: 99%

“…(27), with eigenvalue -3/16. This provides evidence that the instability mechanism that triggers the transition to the intermediate phase is related to the four-spin exchange term K x .…”

Section: A Identifying the Relevant Effective Term Which Drives The mentioning

confidence: 99%

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Quantum magnetism on the Cairo pentagonal lattice

2012

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We present an extensive analytical and numerical study of the antiferromagnetic Heisenberg model on the Cairo pentagonal lattice, the dual of the Shastry-Sutherland lattice with a close realization in the S = 5/2 compound Bi2Fe4O9. We consider a model with two exchange couplings suggested by the symmetry of the lattice, and investigate the nature of the ground state as a function of their ratio x and the spin S. After establishing the classical phase diagram we switch on quantum mechanics in a gradual way that highlights the different role of quantum fluctuations on the two inequivalent sites of the lattice. The most important findings for S = 1/2 include: (i) a surprising interplay between a collinear and a four-sublattice orthogonal phase due to an underlying order-by-disorder mechanism at small x (related to an emergent J1-J2 effective model with J2 ≫ J1), and (ii) a non-magnetic and possibly spin-nematic phase with d-wave symmetry at intermediate x.

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Section: Gs Correlationsmentioning

confidence: 99%

Section: Full Quantum S = 1/2 Limit: Effective Low-energy Theorymentioning

confidence: 99%

Section: Appendix B: Qm Problem Of a Single Afm Dimer In A Staggered mentioning

confidence: 99%

“…(27), with eigenvalue -3/16. This provides evidence that the instability mechanism that triggers the transition to the intermediate phase is related to the four-spin exchange term K x .…”

Section: A Identifying the Relevant Effective Term Which Drives The mentioning

confidence: 99%

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Quantum magnetism on the Cairo pentagonal lattice

2012

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“…Therefore, it is likely that the very slow fluctuations seen here are related to the dynamics of domain walls separating nematic domains with perpendicular magnetic wave vectors. Within that framework, the energy barrier should scale with the square of the in-plane electron spin correlation length [52], and the decrease of U would indicate a decrease of electron correlations with electron doping [53].…”

Section: Discussionmentioning

confidence: 99%

Persistence of slow fluctuations in the overdoped regime of Ba(Fe1-xRhx)2As2 superconductors

Bossoni

Moroni

Julien

et al. 2016

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We present nuclear magnetic resonance evidence that very slow ( 1 MHz) spin fluctuations persist into the overdoped regime of Ba(Fe 1−x Rh x ) 2 As 2 superconductors. Measurements of the 75 As spin echo decay rate, obtained both with Hahn Echo and Carr Purcell Meiboom Gill pulse sequences, show that the slowing down of spin fluctuations can be described by short-range diffusive dynamics, likely involving domain walls motions separating (π/a,0) from (0,π/a) correlated regions. This slowing down of the fluctuations is weakly sensitive to the external magnetic field and, although fading away with doping, it extends deeply into the overdoped regime.

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Strongly Correlated Materials

et al. 2012

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Strongly correlated materials are profoundly affected by the repulsive electron-electron interaction. This stands in contrast to many commonly used materials such as silicon and aluminum, whose properties are comparatively unaffected by the Coulomb repulsion. Correlated materials often have remarkable properties and transitions between distinct, competing phases with dramatically different electronic and magnetic orders. These rich phenomena are fascinating from the basic science perspective and offer possibilities for technological applications. This article looks at these materials through the lens of research performed at Rice University. Topics examined include: Quantum phase transitions and quantum criticality in "heavy fermion" materials and the iron pnictide high temperature superconductors; computational ab initio methods to examine strongly correlated materials and their interface with analytical theory techniques; layered dichalcogenides as example correlated materials with rich phases (charge density waves, superconductivity, hard ferromagnetism) that may be tuned by composition, pressure, and magnetic field; and nanostructure methods applied to the correlated oxides VO₂ and Fe₃O₄, where metal-insulator transitions can be manipulated by doping at the nanoscale or driving the system out of equilibrium. We conclude with a discussion of the exciting prospects for this class of materials.

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Ising transition in frustrated Heisenberg models

Cited by 442 publications

References 16 publications

Quantum magnetism on the Cairo pentagonal lattice

Quantum magnetism on the Cairo pentagonal lattice

Persistence of slow fluctuations in the overdoped regime of Ba(Fe<sub>1-x</sub>Rh<sub>x</sub>)<sub>2</sub>As<sub>2</sub> superconductors

Strongly Correlated Materials

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